Question

question
fully simplify.
$\frac{5 + \frac{5}{x}}{1 - \frac{1}{x^2}}$
answer attempt 1 out of 2

Explanation:

Step1: Combine numerator terms

$\frac{5x + 5}{x}$

Step2: Combine denominator terms

$\frac{x^2 - 1}{x^2}$

Step3: Rewrite division as multiplication

$\frac{5x + 5}{x} \times \frac{x^2}{x^2 - 1}$

Step4: Factor expressions

$\frac{5(x+1)}{x} \times \frac{x^2}{(x-1)(x+1)}$

Step5: Cancel common factors

$\frac{5}{1} \times \frac{x}{x-1}$

Step6: Simplify to final form

$\frac{5x}{x-1}$

Answer:

$\frac{5x}{x-1}$